Determine the limit: lim x→−3 √ (x^2 + 7 − 4)/(x^2 − 9) So I'm pretty sure it doesn't exist but i just wanted to make sure... i got it down to √(x^2+3)/(x+3)(x-3) which doesn't exist because it equals zero thanks for any help
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Originally Posted by smplease Determine the limit: lim x→−3 √ (x^2 + 7 − 4)/(x^2 − 9) So I'm pretty sure it doesn't exist but i just wanted to make sure... i got it down to √(x^2+3)/(x+3)(x-3) which doesn't exist because it equals zero thanks for any help Multiplying by You will get the answer to be either infinity or undefined..whichever your instructor prefers This is because
Originally Posted by smplease Determine the limit: lim x→−3 √ (x^2 + 7 − 4)/(x^2 − 9) So I'm pretty sure it doesn't exist but i just wanted to make sure... i got it down to √(x^2+3)/(x+3)(x-3) which doesn't exist because it equals zero thanks for any help For convenience, let f(x) = √(x^2+3)/(x+3)(x-3). Note that but . The left hand limit does not equal the right hand limit. Therefore does not exist.
Last edited by mr fantastic; May 14th 2008 at 12:15 AM.
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